Atkin-Lehner |
2- 3- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
51264bc |
Isogeny class |
Conductor |
51264 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2482890175217664 = 216 · 314 · 892 |
Discriminant |
Eigenvalues |
2- 3- -2 -4 4 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-87276,9630160] |
[a1,a2,a3,a4,a6] |
Generators |
[144:220:1] |
Generators of the group modulo torsion |
j |
1538865821668/51969681 |
j-invariant |
L |
3.9584652253307 |
L(r)(E,1)/r! |
Ω |
0.45496167110477 |
Real period |
R |
4.3503282548017 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000033 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
51264n2 12816a2 17088m2 |
Quadratic twists by: -4 8 -3 |